Undergraduate Analysis (Hardcover, 2nd ed. 1997. Corr. 4th printing 2005)

This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises. Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of L1-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	June 2005
First published:	July 2005
Authors:	Serge Lang
Dimensions:	240 x 163 x 40mm (L x W x T)
Format:	Hardcover - Laminated cover
Pages:	642
Edition:	2nd ed. 1997. Corr. 4th printing 2005
ISBN-13:	978-0-387-94841-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	0-387-94841-4
Barcode:	9780387948416

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